title: On the existence of the positive steady states of weakly reversible deficiency-one mass action systems.
abstract: In this paper we prove that there exists a positive steady state in each positive stoichiometric class for every weakly reversible deficiency-one mass action system. This qualitative property does not depend on the values of the rate coefficients. Since not all weakly reversible deficiency-one mass action systems satisfy the assumptions of the Deficiency-One Theorem, our result contributes to the theory of deficiency-one mass action systems.
authors.affiliation: Institute of Mathematics, Eötvös Loránd University, Budapest, Hungary. Electronic address: bboros@cs.elte.hu.
authors.forename: Balázs
authors.initials: B
authors.lastname: Boros
mesh_terms: D019295:Computational Biology; D007700:Kinetics; D055641:Mathematical Concepts; D008956:Models, Chemical
keywords: Chemical reaction networks; Deficiency; Mass action systems; Positive steady states; Weak reversibility